Problem 1.33

A cannon fires successively two shells with velocity \(v_{0}\) \(=250 \mathrm{~m} / \mathrm{s} ;\) the first at the angle \(\theta_{1}=60^{\circ}\) and the second at the angle \(\theta_{2}=45^{\circ}\) to the horizontal, the azimuth being the same. Neglecting the air drag, find the time interval between firings leading to the collision of the shells.

\Delta t=\frac{2 v_{0}}{g} \frac{\sin \left(\theta_{1}-\theta_{2}\right)}{\cos \theta_{1}+\cos \theta_{2}}=11 \mathrm{~s}

Kinematics